A generalization of Rado's theorem on independent transversals
A generalization of Rado's theorem on independent transversals
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拉多独立横截面定理的推广
DOI：
10.1017/s0305004100045266
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发表时间：
1969
影响因子：
0.8
通讯作者：
H. Perfect
中科院分区：
文献类型：
--
作者：
H. Perfect
通过抽象独立性的研究，横向理论的生长极大地丰富了。在这一发展中，Rado的独立横向定理（4）发挥了重要作用，最近的工作（例如，威尔士（7））表明其应用绝不是精疲力尽。 Rado的定理可以在许多方向上扩展，而我的目的是描述进一步的概括（下面的定理2），这在文献中似乎并未指出。
The growth of transversal theory has been greatly enriched by the study of abstract independence. In this development, Rado's theorem on independent transversals (4) has played a prominent role, and recent work (e.g. by Welsh(7)) suggests that its applications are by no means exhausted. Rado's theorem can be extended in many directions, and my object is to describe a further generalization (Theorem 2 below) which does not seem to have been noted in the literature.